On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance

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概要

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• We consider a compressible viscous fluid effected by general form external force in \bm{R}<SUP>3</SUP>. In part 1, an analysis of the linearized problem based on the weighted-L<SUB>2</SUB> method implies a condition on the external force for the existence and some regularities of the steady flow. In part 2, we study the stability of the steady flow with respect to the initial disturbance. What we proved is: if H<SUP>3</SUP>-norm of the initial disturbance is small enough, then the solution to the non-stationary problem exists uniquely and globally in time.

• 一般社団法人 日本数学会の論文
• 2003-07-01

著者

• SHIBATA Yoshihiro

  Advanced Research Institute for Science and Engineering Waseda University

• Tanaka Koumei

  Department of Mathematical Sciences School of Science and Engineering Waseda University

関連論文

• On a resolvent estimate of the Stokes equation on an infinite layer
• On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance

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